Non-linear dynamics and pattern formation in a vertical fluid layer heated from the side

We study both experimentally and numerically the convective flow in a tall vertical slot with differently heated walls. The flow is investigated for the fluid with the Prandtl number Pr=26, which is large enough to ensure the traveling waves as primary instability and small enough to prevent boundary layer convection. The flow evolution is determined on the base of the visual observations, power spectra and amplitude analysis. In the numerical simulations of two- and three-dimensional flows, we accept an assumption of an infinite fluid layer. The satisfactory agreement with experiment is observed, and the sequence of convection states is discovered. It starts with a plane-parallel flow as primary solution, which becomes unstable to two counter-propagating waves. It is followed by a tertiary three-dimensional flow in the form of wavy traveling waves. As the Grashof number is increased even further, a chaotically oscillating cellular pattern consisting of the pieces of broken waves arises. The formation of a structure in the form of the vertical rolls chaotically modulated along axes concludes this complicated picture.     

Traveling-wave solution of non-linear coupled reaction diffusion equation arising in mathematical chemistry

A simple analytical approach to find the traveling-wave solution for a set of two coupled non-linear reaction diffusion equations is reported. An exact analytical solution for traveling-waves of the Fisher equations with a general non-linearity is found. The boundary value, the boundedness and the stability of the solution are discussed. This technique is straight forward to use involving minimal algebra. Use of the method for selected case is demonstrated.     

行波型热声发动机的分布参数法热力分析

在现有热声网络模型的基础上 ,对行波型热声发动机采用分布参数法进行了详细地分析 ,得到了较为完整的分布参数法网络模型 ,并给出了该模型的定性关系式 ,所得结果与采用集总参数法的结果有很大差异。分析表明 ,分布参数法更适合于一般的系统情况 ,集总参数法仅仅在一定条件下才适用。文中对一个实际系统应用分布参数法进行了分析 ,得到一些结论 ,对于我们设计行波型热声发动机有非常重要的理论指导意义     

螺旋线径向挤压变形对其慢波结构冷测特性的影响

 介绍了用MAFIA软件的准周期边界条件计算螺旋线行波管慢波结构的色散和耦合阻抗，以及用ANSYS软件对螺旋线径向挤压变形建模的方法，并对螺旋线受挤压径向变形对其冷测特性的影响进行了详细的分析。结果表明:螺旋线径向挤压变形会导致相速增大，而在通常的变形范围内耦合阻抗也会增加；当变形继续增大时耦合阻抗上升到最大值后开始下降。     

螺旋线慢波结构高频特性的简化模拟方法

 利用3D电磁仿真软件HFSS中的Master/Slaver边界条件,基于螺旋线慢波结构的角向周期性,提出了一种改进的高频特性仿真方法。将具有3根夹持杆的螺旋线慢波结构的仿真模型从1个螺距的长度缩小到了1/3个螺距。仿真结果表明：采用改进后的模型,计算所得的相关高频特性参数与改进前传统模型所得结果基本一致,但是运算时间减少了至少3/4,且频率越高,计算时间上面的优势越大。     

超高速行波电吸收调制器的k值设计方法

介绍了一种用于超高速行波电吸收调制器(TW-EAM)设计的“k值带宽法”.该方法考虑了影响调制器带宽的阻抗失配、相速度失配、微波衰减等因素,说明一个优化设计的TW-EAM其带宽可达到140 GHz.     

耦合腔慢波结构冷测特性的计算方法

 对几种用3维MAFIA仿真软件以及利用其准周期边界条件和后处理模块计算耦合腔行波管慢波结构的色散和耦合阻抗等冷测特性的方法进行了讨论，另外还对两种阻抗＿总阻抗和Pierce耦合阻抗的定义进行了充分讨论。考虑到休斯结构耦合腔行波管的电子是与耦合腔慢波结构的负一次谐波发生作用和耦合阻抗应该是电子注截面上的平均值等，指出总阻抗和Pierce耦合阻抗之间相差一个因子，考虑了这个修正因子之后，其结果将更接近实际情况。用这些方法计算耦合腔行波管的冷测特性，得到了与实验冷测值十分接近的结果。     

Exact and traveling-wave solutions for convection-diffusion-reaction equation with power-law nonlinearity

Based on the simplest equation method, we propose exact and traveling-wave solutions for a nonlinear convection-diffusion-reaction equation with power law nonlinearity. Such equation can be considered as a generalization of the Fisher equation and other well-known convection-diffusion-reaction equations. Two important cases are considered. The case of density-independent diffusion and the case of density-dependent diffusion. When the parameters of the equation are constant, the Bernoulli equation is used as the simplest equation. This leads to new traveling-wave solutions. Moreover, some wavefront solutions can be derived from the traveling-wave ones. The case of time-dependent velocity in the convection term is studied also. We derive exact solutions of the equations by using the Riccati equation as simplest equation. The exact and traveling-wave solutions presented in this paper can be used to explain many biological and physical phenomena.     

Solving traveling-wave rate equations of semiconductor lasers including gain compression factor

An implicit analytical solution for the geometric mean of the photon density of the counter-propagating fields inside the diode laser (LD) cavity has been derived from the steady-state traveling-wave rate equations including the gain suppression factor. Together with the expression of the position-dependent photon density and carrier density in terms of the geometric mean, the implicit analytical solution for the rate equations has been obtained. With the aid of the solutions, the effects of the gain suppression on static characteristics of LDs have been quantified.     

Nonlinear Eulerian Analysis of Harmonic Generation in Traveling-Wave Tubes

A third-order nonlinear Eulerian hydrodynamic formulation was developed for the analysis of harmonic generation in helix traveling-wave tubes. The analysis was simple and computationally fast compared to Lagrangian analysis, and contrary to the existing belief, the theory could as well demonstrate the saturation behavior of the device. The performance of the theory was also found to be in close agreement with that of the Lagrangian analysis. The theory is expected to be useful as a first-hand design and simulation tool for microwave and millimetric wave traveling-wave tubes.